Radon-like operators of intermediate dimension
Location: MSRI: Simons Auditorium
We will discuss recent results establishing $L^p$-improving estimates for Radon-like operators which average functions over submanifolds of intermediate dimension (e.g., neither curves nor hypersurfaces). The methods are built around an $L^p$-adapted $TT^*T$ argument which is itself an instance of a Christ-type method of refinements. The resulting estimates are sharp up to loss of the endpoints and provide new insights into the vector field formulation of sharp curvature conditions
Please report video problems to firstname.lastname@example.org.
See more of our Streaming videos on our main VMath Videos page.